SOLUTION: Respected sir, [1] By selling 12 oranges for a rupee,a man loses 20%.How many for a rupee should he sell to gain 20% ? plz sir help me to solve this problem.

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Question 195051: Respected sir,
[1] By selling 12 oranges for a rupee,a man loses 20%.How many for a rupee should he sell to gain 20% ?
plz sir help me to solve this problem.

Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
1 R = .8x, that is at 1 r he loses 20% (1-.2),,,,Let x = breakeven price
.
x= 1/.8 = 1.25, that is if he sells at 1.25 he breaks even
.
Unit price is 12 / 1.25 R = 9.6 per R ,,,,(break even price)
.
To gain 20 % , he should sell at 1.25 * 1.2 = 1.5 R
.
Unit price is 12 / 1.5 = 8.0 per R ,,,,20% profit
.
checking
1.25 *.8 = 1.0 ,,,,,original 20 % loss ,,ok
.
1.25 * 1.2 = 1.5 ,,,,final 20 % profit ,,ok

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